Systems and methods of three-dimensional modeling for use in generating a realistic computer avatar and garments

ABSTRACT

Systems and methods for generating three-dimensional, realistic computer avatar and garments are disclosed herein. An example method determining a topology mesh and a geometry mesh and determining a resulting mesh that has a topology of the topology mesh with a bi-dimensional (UV) coordinate space, and a geometry of the geometry mesh.

CROSS-REFERENCE(S) TO RELATED APPLICATION(S)

This application claims the benefit and priority of U.S. ProvisionalApplication Ser. No. 63/132,173, filed on Dec. 30, 2020, which is herebyincorporated by reference herein in its entirety, including allreferences and appendices cited therein, for all purposes, as if fullyset forth herein.

SUMMARY

In one embodiment, the present disclosure is directed to a methodcomprising determining a topology mesh and a geometry mesh anddetermining a resulting mesh that has a topology of the topology meshwith a bi-dimensional (UV) coordinate space, and a geometry of thegeometry mesh.

In one embodiment, the present disclosure is directed to a 3D systemcomprising: a processor and a memory for storing instructions, theprocessor executing the instructions to determine a topology mesh and ageometry mesh; determine a resulting mesh that has a topology of thetopology mesh with a bi-dimensional (UV) coordinate space, and ageometry of the geometry mesh by: copying the topology mesh to theresulting mesh; copying a UV boundary of the geometry mesh to theresulting mesh; restoring a UV parametrization of the resulting mesh tothe topology mesh; copying a three-dimensional geometry of the geometrymesh to the resulting mesh; and outputting the resulting mesh.

In one embodiment, a method includes determining a topology mesh and ageometry mesh; and determining a resulting mesh that has a topology ofthe topology mesh with a bi-dimensional (UV) coordinate space, and ageometry of the geometry mesh.

BRIEF DESCRIPTION OF THE DRAWINGS

The detailed description is set forth regarding the accompanyingdrawings. The use of the same reference numerals may indicate similar oridentical items. Various embodiments may utilize elements and/orcomponents other than those illustrated in the drawings, and someelements and/or components may not be present in various embodiments.Elements and/or components in the figures are not necessarily drawn toscale. Throughout this disclosure, depending on the context, singularand plural terminology may be used interchangeably.

FIG. 1 is a screenshot of a topology mesh T and UV shells of theTopology mesh T.

FIG. 2 is a screenshot of an XYZ representation of the geometry mesh Gand UV shells of the geometry mesh G are also illustrated.

FIG. 3 is a screenshot of UV shells of an intermediate mesh.

FIG. 4 is a screenshot illustrating the use of consistency 2-Dparametrization of UV shells by rearranging interior UV vertices.

FIG. 5 is a screenshot illustrating computed positions of a resultingmesh R's vertices by mapping them from UV shell space to the 3D space ofa garment.

FIG. 6 is a flowchart of an example method of the present disclosure.

FIG. 7 is a flowchart of another example method of the presentdisclosure.

FIG. 8 is a flowchart of yet another example method of the presentdisclosure.

FIG. 9 is a flowchart of an additional example method of the presentdisclosure.

FIG. 10 is a flowchart of a variation of the method of FIG. 6.

FIG. 11 is a flowchart of another variation of the method of FIG. 6.

FIG. 12 illustrates example code used to implement aspects of thepresent disclosure.

FIG. 13 is schematic diagram of an example computerized system of thepresent disclosure.

DETAILED DESCRIPTION

The present disclosure pertains to systems and methods for thegeneration of a realistic customized computer animation of a userwearing a particular one or more cloth garments.

In exemplary embodiments, an avatar representing the user's likeness inbody shape and size can be generated, and different garments can bedraped on the avatar of the user to simulate how the garment(s) wouldlook on the actual body of the human user. The computer animation can begenerated for any user, wearing any size garment, in substantiallyreal-time.

For context, the methods of the present disclosure can be performed by aspecifically configured computing system. FIG. 11 illustrates an examplecomputer system that can be programmed for use in accordance with thepresent disclosure. That is, the computer system can be configured toprovide three-dimensional modeling for use in generating a realisticcomputer avatar of a user wearing a particular garment. For clarity, thespecifically programmed system disclosed herein will be referenced asthe “3D system”.

Generally speaking, an example 3D system of the present disclosureutilizes mesh analysis to represent a three-dimensional surface. In someinstances, the mesh can comprise a plurality of vertices, also referredto as points. Vertices can be connected by edges. In some instances,vertices and edges can form shapes such as triangles or other similarpolygons. Thus, when edges that connect vertices form a closed loop, aface is created. The three-dimensional surface may be conceptuallythought of as a pattern of faces.

Any surface topology can be represented using vertices, edges, andfaces. The creation of mesh allows for accurate representation of asurface in three-dimensions. These methods are more efficient inrepresenting three-dimensional surfaces than point-clouds. To be sure,while a three-dimensional surface can be sampled to identify points andcreate a point-cloud, this process can be quite data intensive dependingon the number of vertices/points obtained. The modeling disclosed hereinprovides advantages over point-cloud processes, and do not require thesame amount of data, but still provide accurate 3D representations.

FIG. 1 is a screenshot of a topology mesh T related to athree-dimensional object, such as a shirt 100. An XYZ representation 102of the topology mesh T and UV shells 104 are also illustrated. Thetopology includes vertices such as vertex 101, edges, such as edge 103,and an example faces, such as face 105. As noted, the topology includesa plurality of faces. In some embodiments, the 3D system can assign eachvertex/point a unique identifier. Edges connecting between two verticescan also be numbered uniquely, as well as identified in terms of thevertices they span between. The same identification process can be usedfor faces, allowing the 3D system to know which edges and verticesbelong to which faces. This collective information is referred to astopology. Further, when referring to geometry, this will be understoodto include the surface/face (or group of faces) that are implied by therelative 3D position of each of the vertices associated with theface(s). In FIG. 1, the dark lines or edges form a topology and theshirt is the underlying geometry. The vertices, edges, and faces of thetopology form a consistent representation of the underlying geometry ofthe shirt 100.

For context, a topology mesh comprises a mesh having a desired topologyand desired UV shell density. Also, for context, a geometry meshincludes a mesh having a desired geometry and desired UV shellboundaries. The use of both geometry and topology meshes will bedescribed in greater detail below.

FIG. 2 illustrates an XYZ representation 102 of the geometry mesh G andUV shells 104 of the geometry mesh G are also illustrated. The 3D systemcan determine a resulting mesh R that has a desired topology and desiredUV shell density

That is, the resulting mesh R combines the topology of T with UV andgeometry of G. It will be understood that T and G have the same UVshells in terms of the number of boundaries and boundary topological(connectivity) information. The 3D system can create R by initializingit to T. This process can include establishing consistency in a 1-Dparametrization of boundaries of UV shells of the mesh R and G, byparametrization of boundaries from 0 to 1 and forcing consistentdirection. The 3D system can, based on consistency of 1-D boundaryparametrization, project the mesh R's UV boundary vertices onto G's UVboundaries to ensure the same UV boundary contours. UV shells of themesh R are illustrated in FIG. 3 as representations 106.

As illustrated in FIG. 4, the 3D system can establish consistency 2-Dparametrization of UV shells, by rearranging interior UV vertices.Rearranged interior UV vertices 108 are also illustrated.

As best illustrated in FIG. 5, the 3D system can, based on consistency2-D shell parametrization, compute positions of R's vertices by mappingthem from UV shell space to 3D space of a garment. An XYZ representation110 of the mesh R prior to rearranging interior UV vertices, as well asan XYZ representation 112 of the mesh R, after rearranging interior UVvertices is also illustrated.

With the disclosed techniques, a realistic customized computer animationof a user wearing a particular one or more cloth garments can begenerated in substantially real-time for a user of any shape and size.To be sure, FIGS. 6-9 collectively correspond to the illustrations anddescriptions of FIGS. 1-5.

FIG. 6 is a flowchart of an example method of the present disclosure.The method can include a step 602 of determining a topology mesh and ageometry mesh, as well as a step 604 of determining a resulting meshthat combines a topology of the topology mesh with a bi-dimensional (UV)coordinate space, and a geometry of the geometry mesh. In someinstances, step 604 includes sub-step 604.1 of copying the topology meshto the resulting mesh. Next, the method includes a step 604.2 of copyinga UV boundary of the geometry mesh to the resulting mesh, along with astep 604.3 of restoring a UV parametrization of the resulting mesh tothe topology mesh. In some embodiments, the method includes a step 604.4of copying a three-dimensional geometry of the geometry mesh to theresulting mesh. The resulting mesh comprises (1) a topology of thetopology mesh of both 3D and UV representations; (2) UV parametrizationof the topology mesh; (3) a 3D geometry of the geometry mesh; and (4) UVboundaries of UV shells of the geometry mesh.

The method can also include a step 606 of outputting the resulting mesh.The resulting mesh is utilized to generate a representation of a garmentthat is applied to an avatar. In some instances, the method can includeresizing the avatar and the garment by recreating the resulting mesh byaltering at least one of the UV boundary, the UV parameterization, orthe three-dimensional geometry.

FIG. 7 is a flowchart of a method for copying a UV boundary. The methodcan include a step 702 of generating a modified resulting mesh bymapping UV boundaries of the resulting mesh onto UV boundaries of thegeometry mesh.

In some embodiments, the generation of a modified resulting mesh caninclude a step 704.1 of determining geometry UV shells and resulting UVshells.

In some instances, for each geometry UV shell of the geometry UV shells,the method can include a step 704.2 of determining one or more of theresulting UV shells that matches a geometry UV shell. The method canalso include a step 704.3 of building UV boundaries comprising an arrayof corresponding pairs of the geometry UV shells and the resulting UVshells. For each resulting boundary and geometry boundary the UVboundaries, the method can include a step 704.4 of redefining UVpositions of resulting boundary points by mapping the resulting boundarypoints onto a curve defined by points of the geometry boundary.

FIG. 8 is a flowchart of a method for restoring a UV parameterization.Conceptually, this process restores or preserves density informationthat may have been modified during the process of copying UV boundaries.The method can include a step 802 of generating a modified resultingmesh by restoring the UV parameterization of the resulting mesh to beconsistent with a UV parameterization of the topology mesh. The methodcan include a step 804.1 of determining topology UV shells and resultingUV shells. For each topology UV shell of the topology UV shells, themethod can include a step 804.2 of subdividing the topology UV shellsinto one or more of overlapping regions. In some embodiments, the methodincludes a step 804.3 of determining one or more resulting UV shellsthat correspond to a topology UV shell. The method can also include astep 804.4 of subdividing resulting UV shells into one or more ofoverlapping regions, as well as a step 804.5 of building an array ofpairs, wherein each element of the array comprises UV region(s) of thetopology mesh and corresponding UV region(s) of the resulting mesh Insome embodiments, for each pair created from the overlapping topologyregions and resulting regions in the array, the method can include astep 804.6 of processing pairs of topology and resulting regions,redefining UV positions of points of the resulting regions by enforcinga same relative point density in the resulting regions as in the pairedtopology regions.

FIG. 9 is a flowchart of a method for copying a three-dimensionalgeometry. The method can include a step 902 of generating a modifiedresulting mesh by having points of the resulting mesh described in athree-dimensional shape of the geometry mesh, wherein geometry mesh andthe resulting mesh comprise similar or identical UV parameterizationbased on the UV boundary restoration process described above.

Generating a modified target/resulting mesh can include varioussub-steps. Thus, the method can include a step 904.1 of determiningsource geometry UV shells and target/resulting UV shells. For eachresulting UV shell in the target/resulting UV shells, the method caninclude a step 904.2 of determining one or more of a source/geometry UVshell of the source/geometry UV shells. For each resulting vertex of theresulting/target UV shells, the method can include a step 904.3 ofmapping a UV vertex of the target/resulting mesh to a geometry UV shellof the source/geometry UV shells. The method can also include as step904.4 of expressing a projection of the UV vertex in barycentriccoordinates of the source/geometry mesh in UV space. It will beunderstood that a three-dimensional shape of the target/resulting meshis defined by XYZ components of the target/resulting vertices. It willbe further understood that XYZ components of the target/resultingvertices may be result of evaluation the barycentric coordinates of thesource/geometry mesh in three-dimensional space. FIG. 10 is a flowchartof an example method of the present disclosure. This method is avariation of the method disclosed above with respect to FIG. 6. Themethod can include a step 1002 of determining a topology mesh and ageometry mesh, as well as a step 1004 of determining a resulting meshthat combines a topology of the topology mesh with a bi-dimensional (UV)coordinate space, and a geometry of the geometry mesh. In someinstances, step 1004 includes sub-step 1004.1 of copying the topologymesh to the resulting mesh. Next, the method includes a step 1004.2 ofcopying a UV boundary of the geometry mesh to the resulting mesh, alongwith a step 1004.3 of copying/restoring a UV parametrization of theresulting mesh to the geometry mesh. In some embodiments, the methodincludes a step 1004.4 of copying a three-dimensional geometry of thegeometry mesh to the resulting mesh.

The method can also include a step 1006 of outputting the resultingmesh. The resulting mesh is utilized to generate a representation of agarment that is applied to an avatar. In some instances, the method caninclude resizing the avatar and the garment by recreating the resultingmesh by altering at least one of the UV boundary, the UVparameterization, or the three-dimensional geometry. The steps ofcopying UV boundaries, UV parameterization, and 3D geometry can beaccomplished using methods of FIGS. 7-9. In contrast to the method ofFIG. 6, this method involves copying/restoring UV parameterization(e.g., density) of the geometry, rather than the topology.

FIG. 11 is a flowchart of an example method of the present disclosure.This method is a variation of the method disclosed above with respect toFIG. 6. The method can include a step 1102 of determining a topologymesh and a geometry mesh, as well as a step 1104 of determining aresulting mesh that combines a topology of the topology mesh with abi-dimensional (UV) coordinate space, and a geometry of the geometrymesh. In some instances, step 1104 includes sub-step 1104.1 of copyingthe topology mesh to the resulting mesh. In some embodiments, the methodincludes a step 1104.2 of copying a three-dimensional geometry of thegeometry mesh to the resulting mesh.

The method can also include a step 1106 of outputting the resultingmesh. The resulting mesh is utilized to generate a representation of agarment that is applied to an avatar. In some instances, the method caninclude resizing the avatar and the garment by recreating the resultingmesh by altering at least one of the UV boundary, the UVparameterization, or the three-dimensional geometry. It will beunderstood that the step of copying geometry can be performed using thegeometry copying methods as set forth above, with the exception that inthis method related to FIG. 10, the UV parameterization of the geometryis copied/restored rather than the topology. This method excludes stepsrelated to copying UV boundaries and UV parameterization restoration.

FIG. 12 illustrates example pseudocode for implementing the methodsdisclosed herein for measurement space deformation and three-dimensionalinterpolation. The pseudocode correlates, in part, or in whole, to themethods of FIGS. 7-11, as well as other descriptions provided herein. Asused herein, the term “source” shall be understood to include either thegeometry mesh or the topology mesh based on context. The “target” willbe understood to be the resulting mesh.

In general, there are three variations of general methods that can beused in accordance with the present disclosure. The first variation(VARIATION 1) involves creating a resulting mesh having a topology ofthe topology mesh, geometry of the geometry mesh, as well as UVboundaries of the geometry mesh and UV parametrization of topology mesh.An example of VARIATION 1 is illustrated and described with respect toFIG. 6, and set forth more fully in the sections above.

VARIATION 2 involves creating a resulting mesh having a topology oftopology mesh and a geometry of the geometry mesh, as well as UVboundaries and UV parameterization of the geometry mesh.

A third variation (VARIATION 3) is similar to the methods of VARIATIONS1 and 2, and involves creating a resulting mesh having a topology oftopology mesh and a geometry of the geometry mesh, as well as UVboundaries and UV parameterization of the topology mesh.

Exemplary Computing system

FIG. 13 is a diagrammatic representation of an example machine in theform of a computer system 1, within which a set of instructions forcausing the machine to perform any one or more of the methodologiesdiscussed herein may be executed. In various example embodiments, themachine operates as a standalone device or may be connected (e.g.,networked) to other machines. In a networked deployment, the machine mayoperate in the capacity of a server or a client machine in aserver-client network environment, or as a peer machine in apeer-to-peer (or distributed) network environment. Further, while only asingle machine is illustrated, the term “machine” shall also be taken toinclude any collection of machines that individually or jointly executea set (or multiple sets) of instructions to perform any one or more ofthe methodologies discussed herein.

The computer system 1 includes a processor or multiple processor(s) 5(e.g., a central processing unit (CPU), a graphics processing unit(GPU), or both), and a main memory 10 and static memory 15, whichcommunicate with each other via a bus 20. The computer system 1 mayfurther include a video display 35 (e.g., a liquid crystal display(LCD)). The computer system 1 may also include an alpha-numeric inputdevice(s) 30 (e.g., a keyboard), a cursor control device (e.g., amouse), a voice recognition or biometric verification unit (not shown),a drive unit 37 (also referred to as disk drive unit), a signalgeneration device 40 (e.g., a speaker), and a network interface device45. The computer system 1 may further include a data encryption module(not shown) to encrypt data.

The drive unit 37 includes a computer or machine-readable medium 50 onwhich is stored one or more sets of instructions and data structures(e.g., instructions 55) embodying or utilizing any one or more of themethodologies or functions described herein. The instructions 55 mayalso reside, completely or at least partially, within the main memory 10and/or within the processor(s) 5 during execution thereof by thecomputer system 1. The main memory 10 and the processor(s) 5 may alsoconstitute machine-readable media.

The instructions 55 may further be transmitted or received over anetwork via the network interface device 45 utilizing any one of anumber of well-known transfer protocols (e.g., Hyper Text TransferProtocol (HTTP)). While the machine-readable medium 50 is shown in anexample embodiment to be a single medium, the term “computer-readablemedium” should be taken to include a single medium or multiple media(e.g., a centralized or distributed database and/or associated cachesand servers) that store the one or more sets of instructions.

The term “computer-readable medium” shall also be taken to include anymedium that is capable of storing, encoding, or carrying a set ofinstructions for execution by the machine and that causes the machine toperform any one or more of the methodologies of the present application,or that is capable of storing, encoding, or carrying data structuresutilized by or associated with such a set of instructions. The term“computer-readable medium” shall accordingly be taken to include, butnot be limited to, solid-state memories, optical and magnetic media, andcarrier wave signals. Such media may also include, without limitation,hard disks, flash memory cards, digital video disks, random accessmemory (RAM), read only memory (ROM), and the like. The exampleembodiments described herein may be implemented in an operatingenvironment comprising software installed on a computer, in hardware, orin a combination of software and hardware.

The components provided in the computer system 1 are those typicallyfound in computer systems that may be suitable for use with embodimentsof the present disclosure and are intended to represent a broad categoryof such computer components that are known in the art. Thus, thecomputer system 1 can be a server, minicomputer, mainframe computer, orany other computer system. The computer may also include different busconfigurations, networked platforms, multi-processor platforms, and thelike. Various operating systems may be used including UNIX, LINUX,WINDOWS, QNX ANDROID, IOS, CHROME, TIZEN, and other suitable operatingsystems.

Some of the above-described functions may be composed of instructionsthat are stored on storage media (e.g., computer-readable medium). Theinstructions may be retrieved and executed by the processor. Someexamples of storage media are memory devices, tapes, disks, and thelike. The instructions are operational when executed by the processor todirect the processor to operate in accord with the technology. Thoseskilled in the art are familiar with instructions, processor(s), andstorage media.

In some embodiments, the computer system 1 may be implemented as acloud-based computing environment, such as a virtual machine operatingwithin a computing cloud. In other embodiments, the computer system 1may itself include a cloud-based computing environment, where thefunctionalities of the computer system 1 are executed in a distributedfashion. Thus, the computer system 1, when configured as a computingcloud, may include pluralities of computing devices in various forms, aswill be described in greater detail below.

In general, a cloud-based computing environment is a resource thattypically combines the computational power of a large grouping ofprocessors (such as within web servers) and/or that combines the storagecapacity of a large grouping of computer memories or storage devices.Systems that provide cloud-based resources may be utilized exclusivelyby their owners or such systems may be accessible to outside users whodeploy applications within the computing infrastructure to obtain thebenefit of large computational or storage resources.

The cloud is formed, for example, by a network of web servers thatcomprise a plurality of computing devices, such as the computer device1, with each server (or at least a plurality thereof) providingprocessor and/or storage resources. These servers manage workloadsprovided by multiple users (e.g., cloud resource customers or otherusers). Typically, each user places workload demands upon the cloud thatvary in real-time, sometimes dramatically. The nature and extent ofthese variations typically depends on the type of business associatedwith the user.

It is noteworthy that any hardware platform suitable for performing theprocessing described herein is suitable for use with the technology. Theterms “computer-readable storage medium” and “computer-readable storagemedia” as used herein refer to any medium or media that participate inproviding instructions to a CPU for execution. Such media can take manyforms, including, but not limited to, non-volatile media, volatilemedia, and transmission media. Non-volatile media include, for example,optical or magnetic disks, such as a fixed disk. Volatile media includedynamic memory, such as system RAM. Transmission media include coaxialcables, copper wire and fiber optics, among others, including the wiresthat comprise one embodiment of a bus. Transmission media can also takethe form of acoustic or light waves, such as those generated duringradio frequency (RF) and infrared (IR) data communications. Common formsof computer-readable media include, for example, a flexible disk, a harddisk, magnetic tape, any other magnetic medium, a CD-ROM disk, digitalvideo disk (DVD), any other optical medium, any other physical mediumwith patterns of marks or holes, a RAM, a PROM, an EPROM, an EEPROM, aFLASHEPROM, any other memory chip or data exchange adapter, a carrierwave, or any other medium from which a computer can read.

Various forms of computer-readable media may be involved in carrying oneor more sequences of one or more instructions to a CPU for execution. Abus carries the data to system RAM, from which a CPU retrieves andexecutes the instructions. The instructions received by system RAM canoptionally be stored on a fixed disk either before or after execution bya CPU.

Computer program code for carrying out operations for aspects of thepresent technology may be written in any combination of one or moreprogramming languages, including an object oriented programming languagesuch as Java, Smalltalk, C++, or the like and conventional proceduralprogramming languages, such as the “C” programming language or similarprogramming languages. The program code may execute entirely on theuser's computer, partly on the user's computer, as a stand-alonesoftware package, partly on the user's computer and partly on a remotecomputer or entirely on the remote computer or server. In the latterscenario, the remote computer may be connected to the user's computerthrough any type of network, including a local area network (LAN) or awide area network (WAN), or the connection may be made to an externalcomputer (for example, through the Internet using an Internet ServiceProvider).

The foregoing detailed description includes references to theaccompanying drawings, which form a part of the detailed description.The drawings show illustrations in accordance with exemplaryembodiments. These example embodiments, which are also referred toherein as “examples,” are described in enough detail to enable thoseskilled in the art to practice the present subject matter.

The embodiments can be combined, other embodiments can be utilized, orstructural, logical, and electrical changes can be made withoutdeparting from the scope of what is claimed. The following detaileddescription is, therefore, not to be taken in a limiting sense, and thescope is defined by the appended claims and their equivalents. In thisdocument, the terms “a” or “an” are used, as is common in patentdocuments, to include one or more than one. In this document, the term“or” is used to refer to a nonexclusive “or,” such that “A or B”includes “A but not B,” “B but not A,” and “A and B,” unless otherwiseindicated. Furthermore, all publications, patents, and patent documentsreferred to in this document are incorporated by reference herein intheir entirety, as though individually incorporated by reference. In theevent of inconsistent usages between this document and those documentsso incorporated by reference, the usage in the incorporated reference(s)should be considered supplementary to that of this document; forirreconcilable inconsistencies, the usage in this document controls.

The corresponding structures, materials, acts, and equivalents of allmeans or step plus function elements in the claims below are intended toinclude any structure, material, or act for performing the function incombination with other claimed elements as specifically claimed. Thedescription of the present technology has been presented for purposes ofillustration and description, but is not intended to be exhaustive orlimited to the invention in the form disclosed. Many modifications andvariations will be apparent to those of ordinary skill in the artwithout departing from the scope and spirit of the invention. Exemplaryembodiments were chosen and described to best explain the principles ofthe present technology and its practical application, and to enableothers of ordinary skill in the art to understand the invention forvarious embodiments with various modifications as are suited to theparticular use contemplated.

While various embodiments have been described above, they have beenpresented by way of example only, and not limitation. The descriptionsare not intended to limit the scope of the technology to the forms setforth herein. Thus, the breadth and scope of a preferred embodimentshould not be limited by any of the above-described exemplaryembodiments. The above description is illustrative and not restrictive.

What is claimed is:
 1. A method, comprising: determining a topology meshfor an object and a geometry mesh for the object; determining aresulting mesh that has a topology of the topology mesh and a geometryof the geometry mesh by: copying the topology mesh to the resultingmesh; copying a UV boundary of the geometry mesh to the resulting mesh;restoring a UV parameterization of the resulting mesh to the topologymesh; copying a three-dimensional geometry of the geometry mesh to theresulting mesh; and outputting the resulting mesh.
 2. The methodaccording to claim 1, wherein copying the UV boundary comprises:generating a modified resulting mesh by mapping UV boundaries of thegeometry mesh onto UV boundaries of the resulting mesh.
 3. The methodaccording to claim 2, further comprising: determining geometry UV shellsand resulting UV shells; for each geometry UV shell of the geometry UVshells: determining a resulting UV shell of the resulting UV shells thatmatches a geometry UV shell or vice-versa; building an array of pairs,wherein each element of the array of pairs comprises UV regions of thetopology mesh and corresponding UV regions of the resulting mesh; andfor each of a plurality of resulting boundary points and geometryboundary the UV boundaries, redefining UV positions of resultingboundary points by mapping the plurality of resulting boundary pointsonto a curve defined by points of the geometry boundary.
 4. The methodaccording to claim 1, wherein restoring the UV parameterization of thetopology mesh to the resulting mesh: generating a modified resultingmesh by making the UV parameterization of the resulting mesh consistentwith a UV parameterization of the topology mesh.
 5. The method accordingto claim 4, further comprising: determining topology UV shells andresulting UV shells; for each topology UV shell of the topology UVshells, subdividing the topology UV shells into one or more ofoverlapping regions; determining one or more resulting UV shells thatcorrespond to a topology UV shell; subdividing resulting UV shells intoone or more of overlapping regions; building an array of pairs, whereineach element of the array of pairs comprises UV regions of the topologymesh and corresponding UV regions of the resulting mesh; and for eachpair created from the array, processing the pairs of topology andresulting regions; and redefining UV positions of points of theresulting regions by enforcing a same relative point density in theresulting regions as in the topology regions.
 6. The method according toclaim 1, wherein copying the three-dimensional geometry of the geometrymesh to the resulting mesh: generating a modified resulting mesh byhaving points of the geometry mesh described in a three-dimensionalshape of the geometry mesh, wherein geometry mesh and the resulting meshcomprise similar or identical UV parameterization.
 7. The methodaccording to claim 6, further comprising: determining geometry UV shellsand resulting UV shells; for each resulting UV shell in the resulting UVshells, determining one or more of a source geometry UV shell of thesource geometry UV shells; for each resulting vertex of the resulting UVshells, mapping a UV vertex of the resulting mesh to a geometry UV shellof the geometry UV shells; and expressing a projection of the UV vertexin barycentric coordinates of the geometry mesh in UV space, wherein athree-dimensional shape of the resulting mesh is defined by XYZcomponents of resulting vertices, the XYZ components of the resultingvertices resulting from an evaluation of the barycentric coordinates ofthe source geometry mesh in three-dimensional space.
 8. The methodaccording to claim 1, wherein the resulting mesh is utilized to generatea representation of a garment that is applied to an avatar.
 9. Themethod according to claim 8, further comprising resizing the avatar andthe garment by recreating the resulting mesh by altering at least one ofthe UV boundary, the UV parameterization, or the three-dimensionalgeometry.
 10. A three-dimensional modeling system comprising: aprocessor; and a memory for storing instructions, the processorexecuting the instructions to: determine a topology mesh and a geometrymesh; determine a resulting mesh that has a topology of the topologymesh with a bi-dimensional (UV) coordinate space, and a geometry of thegeometry mesh by: copying the topology mesh to the resulting mesh;copying a UV boundary of the geometry mesh to the resulting mesh;restoring a UV parametrization of the resulting mesh to the topologymesh; copying a three-dimensional geometry of the geometry mesh to theresulting mesh; and outputting the resulting mesh.
 11. The systemaccording to claim 10, wherein the processor is configured to: generatea modified resulting mesh by mapping UV boundaries of the resulting meshonto UV boundaries of the geometry mesh.
 12. The system according toclaim 11, wherein the processor is configured to: determine geometry UVshells and resulting UV shells; for each geometry UV shell of thegeometry UV shells, determine one or more of the resulting UV shellsthat matches a geometry UV shell; build UV boundaries comprising anarray of corresponding pairs of the geometry UV shells and the resultingUV shells; and for each of a plurality of resulting boundary andgeometry boundary the UV boundaries, redefine UV positions of resultingboundary points by mapping the plurality of resulting boundary pointsonto a curve defined by points of the geometry boundary.
 13. The systemaccording to claim 10, wherein the processor is configured to: generatea modified resulting mesh by making a UV parameterization of theresulting mesh consistent with a UV parameterization of the topologymesh.
 14. The system according to claim 13, wherein the processor isconfigured to: determine topology UV shells and resulting UV shells; foreach topology UV shell of the topology UV shells, subdivide the topologyUV shells into one or more of overlapping regions; determine one or moreresulting UV shells that correspond to a topology UV shell; subdivideresulting UV shells into one or more of overlapping regions; build anarray of corresponding pairs of topology regions and resulting regions;and for each pair created from overlapping pairs of the topology regionsand resulting regions in the array, redefine UV positions of points ofthe resulting regions by enforcing a same relative point density as inthe overlapping topology regions.
 15. The system according to claim 10,wherein the processor is configured to: generate a modified resultingmesh by having points of the resulting mesh described in athree-dimensional shape of the geometry mesh, wherein geometry mesh andthe resulting mesh comprise similar or identical UV parameterization;determine geometry UV shells and resulting UV shells; for each resultingUV shell in the resulting UV shells, determine one or more of theresulting UV shells that correspond to a geometry UV shell of thegeometry UV shells; for each resulting vertex of the geometry UV shells,creating a UV vertex and mapping the UV vertex onto a geometry UV shellof the geometry UV shells; and express a projection in barycentriccoordinates of the resulting mesh in UV space, wherein athree-dimensional shape of a target is an XYZ component of the resultingvertex, further wherein the three-dimensional shape of the target is aresult of evaluation the barycentric coordinates of the resulting meshin three-dimensional space.
 16. The system according to claim 10,wherein the resulting mesh is utilized to generate a representation of agarment that is applied to an avatar.
 17. The system according to claim16, wherein the processor is configured to resize the avatar and thegarment by recreating the resulting mesh by altering at least one of theUV boundary, a UV parameterization, or the three-dimensional geometry.18. A method comprising: determining a topology mesh and a geometrymesh; and determining a resulting mesh that has a topology of thetopology mesh with a bi-dimensional (UV) coordinate space, and ageometry of the geometry mesh.